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stat.ME2024
A Direct Importance Sampling-based Framework for Rare Event Uncertainty Quantification in Non-Gaussian Spaces
Elsayed Eshra, Konstantinos G. Papakonstantinou, Hamed Nikbakht
This work introduces a novel framework for precisely and efficiently estimating rare event probabilities in complex, high-dimensional non-Gaussian spaces, building on our foundatio…
math.NA2024
Quadratic Point Estimate Method for Probabilistic Moments Computation
Minhyeok Ko, Konstantinos G. Papakonstantinou
This paper presents in detail the originally developed Quadratic Point Estimate Method (QPEM), aimed at efficiently and accurately computing the first four output moments of probab…